Nonlinear modulational instability of two-dimensional deep hydroelastic Stokes waves
Analysis of PDEs
2026-03-31 v1
Abstract
In this paper, we study the nonlinear modulational instability of two-dimensional hydroelastic Stokes waves in infinite depth. We first justify a focusing cubic nonlinear Schr\"odinger (NLS) approximation result for 2D deep hydroelastic wave system in the spirit of Ifrim-Tataru [22]. Then we exploit the instability mechanism of the cubic NLS to prove that the Stokes waves are nonlinearly unstable under long-wave perturbations.
Keywords
Cite
@article{arxiv.2603.28024,
title = {Nonlinear modulational instability of two-dimensional deep hydroelastic Stokes waves},
author = {Lizhe Wan and Jiaqi Yang},
journal= {arXiv preprint arXiv:2603.28024},
year = {2026}
}
Comments
26 pages